We establish some properties of the classical area-preserving spline transform of step-wise functions and propose a regularization algorithm for the positive step-wise functions whose spline transform fails to be non negative.
Cite this article
Jean-Paul Calvi, Livio Tilatti, On the spline transform of step-wise functions. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 29 (2018), no. 1, pp. 173–193DOI 10.4171/RLM/799